An Alternative De nition for the k-Riemann-Liouville Fractional Derivative
Dorrego, G. A. (2015). An alternative definition for the k-Riemann-Liouville fractional derivative. Applied Mathematical Sciences 9(10), 481-491.
Dorrego, Gustavo Abel
The aim of this paper is to introduce an alternative de nition for the k-Riemann-Liouville fractional derivative given in  and whose advantage is that it is the left inverse of the corresponding of k-Riemann-Liouville fractional integral operator introduced by . Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Le er k-function introduced in is calculated.